English

Koszul duality and Frobenius structure for restricted enveloping algebras

Representation Theory 2010-10-05 v1

Abstract

Let g be the Lie algebra of a connected, simply connected semisimple algebraic group over an algebraically closed field of sufficiently large positive characteristic. We study the compatibility between the Koszul grading on the restricted enveloping algebra (Ug)_0 of g constructed in a previous paper, and the structure of Frobenius algebra of (Ug)_0. This answers a question raised to the author by W. Soergel.

Keywords

Cite

@article{arxiv.1010.0495,
  title  = {Koszul duality and Frobenius structure for restricted enveloping algebras},
  author = {Simon Riche},
  journal= {arXiv preprint arXiv:1010.0495},
  year   = {2010}
}

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30 pages